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http://dx.doi.org/10.12989/sem.2018.67.4.385

The use of generalized functions modeling the concentrated loads on Timoshenko beams  

Falsone, Giovanni (Department of Engineering, University of Messina)
Publication Information
Structural Engineering and Mechanics / v.67, no.4, 2018 , pp. 385-390 More about this Journal
Abstract
An incongruity is underlined about the analysis of Timoshenko beams subjected to concentrated loads modelled through the use of generalized functions. While for Euler-Bernoulli beams this modeling always leads to effective results, on the contrary, the contemporary assumptions of concentrated external moment, interpreted as a generalized function (doublet), and of shear deformation determine inconsistent discontinuities in the deflection laws. A physical/theoretical explanation of this not-neglecting incongruity is given in the text.
Keywords
Timoshenko beam; concentrated loads; generalized functions; physical incongruity;
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